%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP123-3.004 : TPTP v9.2.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:23:54 PM UTC 2026
% Result : Satisfiable 1.99s 1.90s
% Output : Saturation 1.99s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(product_total_function1,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| ~ group_element(X1)
| ~ group_element(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(cycle6,axiom,
( ~ cycle(X1,e_0)
| ~ product(X1,e_1,X2)
| ~ greater(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle6) ).
cnf(e_4_greater_e_2,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_2) ).
cnf(cycle2,axiom,
( cycle(X1,e_0)
| cycle(X1,e_1)
| cycle(X1,e_2)
| cycle(X1,e_3)
| ~ group_element(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle2) ).
cnf(e_3_greater_e_2,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_greater_e_2) ).
cnf(product_right_cancellation,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(product_idempotence,axiom,
product(X1,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotence) ).
cnf(product_left_cancellation,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(cycle4,axiom,
( equalish(X2,X5)
| ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ next(X1,X3)
| ~ greater(X2,e_0)
| ~ next(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle4) ).
cnf(e_3_greater_e_0,axiom,
greater(e_3,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_greater_e_0) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
cnf(e_2_then_e_3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_then_e_3) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
cnf(e_0_then_e_1,axiom,
next(e_0,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_0_then_e_1) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
cnf(e_2_greater_e_0,axiom,
greater(e_2,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_greater_e_0) ).
cnf(e_3_then_e_4,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_then_e_4) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
cnf(element_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_4) ).
cnf(cycle3,axiom,
cycle(e_4,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle3) ).
cnf(cycle5,axiom,
( ~ cycle(X1,X2)
| ~ cycle(X3,e_0)
| ~ cycle(X4,X5)
| ~ next(X3,X4)
| ~ greater(X3,X1)
| ~ greater(X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle5) ).
cnf(qg1_2,negated_conjecture,
( equalish(X2,X5)
| ~ product(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ product(X6,X2,X1)
| ~ product(X6,X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg1_2) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
cnf(e_1_then_e_2,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_then_e_2) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(e_4_greater_e_3,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_3) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(cycle7,axiom,
( equalish(X3,X4)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,X3)
| ~ greater(X2,e_0)
| ~ next(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle7) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
cnf(e_1_greater_e_0,axiom,
greater(e_1,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_greater_e_0) ).
cnf(qg1_1,negated_conjecture,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ product(X6,X2,X1)
| ~ product(X6,X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg1_1) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
cnf(e_3_greater_e_1,axiom,
greater(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_greater_e_1) ).
cnf(e_4_greater_e_1,axiom,
greater(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_1) ).
cnf(product_total_function2,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).
cnf(e_4_greater_e_0,axiom,
greater(e_4,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_0) ).
cnf(cycle1,axiom,
( equalish(X2,X3)
| ~ cycle(X1,X2)
| ~ cycle(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle1) ).
cnf(e_2_greater_e_1,axiom,
greater(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_greater_e_1) ).
cnf(c_0_44,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| ~ group_element(X1)
| ~ group_element(X2) ),
product_total_function1,
[final] ).
cnf(c_0_45,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_46,plain,
( product(X1,e_1,e_1)
| product(X1,e_1,e_2)
| product(X1,e_1,e_3)
| product(X1,e_1,e_4)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]),
[final] ).
cnf(c_0_47,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_48,axiom,
( ~ cycle(X1,e_0)
| ~ product(X1,e_1,X2)
| ~ greater(X2,X1) ),
cycle6,
[final] ).
cnf(c_0_49,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]),
[final] ).
cnf(c_0_50,axiom,
greater(e_4,e_2),
e_4_greater_e_2,
[final] ).
cnf(c_0_51,axiom,
( cycle(X1,e_0)
| cycle(X1,e_1)
| cycle(X1,e_2)
| cycle(X1,e_3)
| ~ group_element(X1) ),
cycle2,
[final] ).
cnf(c_0_52,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ cycle(e_2,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]),
[final] ).
cnf(c_0_53,plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_51,c_0_47]) ).
cnf(c_0_54,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_55,axiom,
greater(e_3,e_2),
e_3_greater_e_2,
[final] ).
cnf(c_0_56,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
product_right_cancellation,
[final] ).
cnf(c_0_57,axiom,
product(X1,X1,X1),
product_idempotence,
[final] ).
cnf(c_0_58,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ cycle(e_2,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_54]),c_0_55])]) ).
cnf(c_0_59,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
product_left_cancellation,
[final] ).
cnf(c_0_60,plain,
( equalish(X1,X2)
| ~ product(X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]),
[final] ).
cnf(c_0_61,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_53]) ).
cnf(c_0_62,axiom,
~ equalish(e_1,e_2),
e_1_is_not_e_2,
[final] ).
cnf(c_0_63,axiom,
( equalish(X2,X5)
| ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ next(X1,X3)
| ~ greater(X2,e_0)
| ~ next(X4,X5) ),
cycle4,
[final] ).
cnf(c_0_64,axiom,
greater(e_3,e_0),
e_3_greater_e_0,
[final] ).
cnf(c_0_65,plain,
( equalish(X1,X2)
| ~ product(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_57]),
[final] ).
cnf(c_0_66,plain,
( product(e_2,e_1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).
cnf(c_0_67,axiom,
~ equalish(e_2,e_1),
e_2_is_not_e_1,
[final] ).
cnf(c_0_68,plain,
( equalish(e_3,X1)
| ~ cycle(X2,e_3)
| ~ cycle(X3,X4)
| ~ next(X4,X1)
| ~ next(X2,X3) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]),
[final] ).
cnf(c_0_69,plain,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).
cnf(c_0_70,plain,
( equalish(e_3,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ cycle(X2,X3)
| ~ next(e_2,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_71,axiom,
next(e_2,e_3),
e_2_then_e_3,
[final] ).
cnf(c_0_72,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_73,plain,
( equalish(e_3,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ cycle(e_3,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_74,plain,
( cycle(e_3,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_51,c_0_72]),
[final] ).
cnf(c_0_75,plain,
( equalish(e_3,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ next(e_0,X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_76,axiom,
next(e_0,e_1),
e_0_then_e_1,
[final] ).
cnf(c_0_77,axiom,
~ equalish(e_3,e_1),
e_3_is_not_e_1,
[final] ).
cnf(c_0_78,plain,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).
cnf(c_0_79,axiom,
greater(e_2,e_0),
e_2_greater_e_0,
[final] ).
cnf(c_0_80,plain,
( equalish(e_3,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_78]) ).
cnf(c_0_81,axiom,
next(e_3,e_4),
e_3_then_e_4,
[final] ).
cnf(c_0_82,axiom,
~ equalish(e_3,e_4),
e_3_is_not_e_4,
[final] ).
cnf(c_0_83,plain,
( equalish(e_2,X1)
| ~ cycle(X2,e_2)
| ~ cycle(X3,X4)
| ~ next(X4,X1)
| ~ next(X2,X3) ),
inference(spm,[status(thm)],[c_0_63,c_0_79]),
[final] ).
cnf(c_0_84,plain,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).
cnf(c_0_85,plain,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ cycle(X2,X3)
| ~ next(e_3,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_86,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_87,plain,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ cycle(e_4,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_81]) ).
cnf(c_0_88,axiom,
cycle(e_4,e_0),
cycle3,
[final] ).
cnf(c_0_89,plain,
( product(X1,e_4,e_1)
| product(X1,e_4,e_2)
| product(X1,e_4,e_3)
| product(X1,e_4,e_4)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_86]),
[final] ).
cnf(c_0_90,plain,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ next(e_0,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_91,axiom,
( ~ cycle(X1,X2)
| ~ cycle(X3,e_0)
| ~ cycle(X4,X5)
| ~ next(X3,X4)
| ~ greater(X3,X1)
| ~ greater(X2,X5) ),
cycle5,
[final] ).
cnf(c_0_92,plain,
( product(X1,e_3,e_1)
| product(X1,e_3,e_2)
| product(X1,e_3,e_3)
| product(X1,e_3,e_4)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_72]),
[final] ).
cnf(c_0_93,plain,
( product(X1,e_2,e_1)
| product(X1,e_2,e_2)
| product(X1,e_2,e_3)
| product(X1,e_2,e_4)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_47]),
[final] ).
cnf(c_0_94,negated_conjecture,
( equalish(X2,X5)
| ~ product(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ product(X6,X2,X1)
| ~ product(X6,X5,X4) ),
qg1_2,
[final] ).
cnf(c_0_95,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_89,c_0_47]) ).
cnf(c_0_96,axiom,
~ equalish(e_2,e_4),
e_2_is_not_e_4,
[final] ).
cnf(c_0_97,plain,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_76]),c_0_67]) ).
cnf(c_0_98,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ greater(e_3,X3)
| ~ greater(X4,X2)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_74]),
[final] ).
cnf(c_0_99,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_92,c_0_86]) ).
cnf(c_0_100,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_93,c_0_86]) ).
cnf(c_0_101,negated_conjecture,
( equalish(X1,X2)
| ~ product(X2,X1,X3)
| ~ product(X2,X2,X4)
| ~ product(X3,X1,X4) ),
inference(spm,[status(thm)],[c_0_94,c_0_57]),
[final] ).
cnf(c_0_102,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_95]),c_0_96]),
[final] ).
cnf(c_0_103,axiom,
~ equalish(e_4,e_2),
e_4_is_not_e_2,
[final] ).
cnf(c_0_104,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_89,c_0_72]) ).
cnf(c_0_105,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_93,c_0_72]),
[final] ).
cnf(c_0_106,plain,
( equalish(e_3,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_97]) ).
cnf(c_0_107,axiom,
next(e_1,e_2),
e_1_then_e_2,
[final] ).
cnf(c_0_108,axiom,
~ equalish(e_3,e_2),
e_3_is_not_e_2,
[final] ).
cnf(c_0_109,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_2,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_3,X2) ),
inference(spm,[status(thm)],[c_0_98,c_0_55]),
[final] ).
cnf(c_0_110,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_99]),c_0_82]) ).
cnf(c_0_111,axiom,
~ equalish(e_4,e_3),
e_4_is_not_e_3,
[final] ).
cnf(c_0_112,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_100]),c_0_96]),
[final] ).
cnf(c_0_113,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| ~ product(e_2,e_2,X1)
| ~ product(e_3,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]),
[final] ).
cnf(c_0_114,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_104]),c_0_82]) ).
cnf(c_0_115,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_56,c_0_105]),
[final] ).
cnf(c_0_116,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_72]),
[final] ).
cnf(c_0_117,plain,
( cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]),
[final] ).
cnf(c_0_118,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_2,X1)
| ~ cycle(e_4,X2)
| ~ greater(X1,X2) ),
inference(spm,[status(thm)],[c_0_109,c_0_81]),
[final] ).
cnf(c_0_119,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_110]),c_0_111]),
[final] ).
cnf(c_0_120,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| ~ product(e_4,e_4,X1)
| ~ product(e_3,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_112]),c_0_96]),
[final] ).
cnf(c_0_121,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_113,c_0_57]),
[final] ).
cnf(c_0_122,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_114]),c_0_111]),
[final] ).
cnf(c_0_123,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_62]) ).
cnf(c_0_124,axiom,
~ equalish(e_2,e_3),
e_2_is_not_e_3,
[final] ).
cnf(c_0_125,plain,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(X2,X3)
| ~ next(e_2,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_117]),
[final] ).
cnf(c_0_126,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_2,e_1)
| ~ cycle(e_4,X1)
| ~ greater(e_2,X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_117]) ).
cnf(c_0_127,negated_conjecture,
( product(e_4,e_3,e_1)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_119]),c_0_82]),
[final] ).
cnf(c_0_128,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_120,c_0_57]),
[final] ).
cnf(c_0_129,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]),
[final] ).
cnf(c_0_130,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_123]),c_0_124]) ).
cnf(c_0_131,plain,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_3,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_125,c_0_71]),
[final] ).
cnf(c_0_132,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_2,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_79]),c_0_88])]) ).
cnf(c_0_133,axiom,
greater(e_4,e_3),
e_4_greater_e_3,
[final] ).
cnf(c_0_134,negated_conjecture,
( product(e_4,e_3,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_127,c_0_57]),
[final] ).
cnf(c_0_135,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_128,c_0_105]) ).
cnf(c_0_136,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_129]),
[final] ).
cnf(c_0_137,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_130]),c_0_108]),
[final] ).
cnf(c_0_138,plain,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_139,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ cycle(e_3,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_116]),c_0_133])]),
[final] ).
cnf(c_0_140,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_134]),
[final] ).
cnf(c_0_141,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_135]),c_0_103]),
[final] ).
cnf(c_0_142,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_96]) ).
cnf(c_0_143,axiom,
~ equalish(e_1,e_3),
e_1_is_not_e_3,
[final] ).
cnf(c_0_144,plain,
( cycle(e_2,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_81]),c_0_96]) ).
cnf(c_0_145,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_139,c_0_74]) ).
cnf(c_0_146,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_124]),
[final] ).
cnf(c_0_147,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_92,c_0_47]),
[final] ).
cnf(c_0_148,axiom,
( equalish(X3,X4)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,X3)
| ~ greater(X2,e_0)
| ~ next(X1,X4) ),
cycle7,
[final] ).
cnf(c_0_149,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_142]),c_0_143]),
[final] ).
cnf(c_0_150,plain,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| cycle(e_3,e_1)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_144]) ).
cnf(c_0_151,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_105]),
[final] ).
cnf(c_0_152,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_93,c_0_45]),
[final] ).
cnf(c_0_153,plain,
( product(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_122]),
[final] ).
cnf(c_0_154,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_145]),c_0_143]),
[final] ).
cnf(c_0_155,axiom,
~ equalish(e_1,e_4),
e_1_is_not_e_4,
[final] ).
cnf(c_0_156,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_157,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_1)
| equalish(e_2,X1)
| ~ cycle(e_3,X2)
| ~ greater(X2,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_148,c_0_149]),
[final] ).
cnf(c_0_158,plain,
( cycle(e_2,e_1)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_71]),c_0_124]),
[final] ).
cnf(c_0_159,axiom,
greater(e_1,e_0),
e_1_greater_e_0,
[final] ).
cnf(c_0_160,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_147]),
[final] ).
cnf(c_0_161,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_92,c_0_45]),
[final] ).
cnf(c_0_162,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(e_4,X1)
| ~ cycle(e_2,X2)
| ~ greater(X2,e_0)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_148,c_0_49]),
[final] ).
cnf(c_0_163,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_89,c_0_45]) ).
cnf(c_0_164,negated_conjecture,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ product(X6,X2,X1)
| ~ product(X6,X5,X4) ),
qg1_1,
[final] ).
cnf(c_0_165,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_143]) ).
cnf(c_0_166,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_155]),
[final] ).
cnf(c_0_167,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_156]),c_0_124]) ).
cnf(c_0_168,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_1)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ next(e_3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_159])]) ).
cnf(c_0_169,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_86]) ).
cnf(c_0_170,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_62]) ).
cnf(c_0_171,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(e_4,X1)
| cycle(e_2,e_1)
| ~ next(e_2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_117]),c_0_79])]) ).
cnf(c_0_172,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_102]),
[final] ).
cnf(c_0_173,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_163]),c_0_155]),
[final] ).
cnf(c_0_174,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_4,e_2,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_105]),
[final] ).
cnf(c_0_175,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_165]),c_0_124]) ).
cnf(c_0_176,plain,
( product(e_3,e_1,e_1)
| equalish(X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_166]),
[final] ).
cnf(c_0_177,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_167]),c_0_108]),
[final] ).
cnf(c_0_178,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_81]),c_0_96]) ).
cnf(c_0_179,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_169]),c_0_155]),
[final] ).
cnf(c_0_180,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_170]),c_0_124]) ).
cnf(c_0_181,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_56,c_0_102]),
[final] ).
cnf(c_0_182,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_71]),c_0_111]),
[final] ).
cnf(c_0_183,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_62]) ).
cnf(c_0_184,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_174,c_0_141]),
[final] ).
cnf(c_0_185,plain,
( product(e_3,e_2,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_175]),c_0_108]),
[final] ).
cnf(c_0_186,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_96]) ).
cnf(c_0_187,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_56,c_0_112]),
[final] ).
cnf(c_0_188,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_178]),c_0_77]) ).
cnf(c_0_189,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| ~ product(e_4,e_4,X1)
| ~ product(e_3,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_179]),c_0_155]),
[final] ).
cnf(c_0_190,plain,
( product(e_2,e_3,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_180]),c_0_108]),
[final] ).
cnf(c_0_191,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_155]) ).
cnf(c_0_192,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_56,c_0_147]),
[final] ).
cnf(c_0_193,plain,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_183]),c_0_103]),
[final] ).
cnf(c_0_194,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_1)
| ~ product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_122]),c_0_96]),
[final] ).
cnf(c_0_195,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_185]),c_0_96]) ).
cnf(c_0_196,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_186]),c_0_77]) ).
cnf(c_0_197,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_179]),c_0_62]) ).
cnf(c_0_198,negated_conjecture,
( product(e_2,e_4,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_188]),c_0_103]),
[final] ).
cnf(c_0_199,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_189,c_0_57]),
[final] ).
cnf(c_0_200,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_190]),
[final] ).
cnf(c_0_201,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_191]),c_0_103]) ).
cnf(c_0_202,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_49]),c_0_143]) ).
cnf(c_0_203,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_193]),
[final] ).
cnf(c_0_204,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_194,c_0_193]) ).
cnf(c_0_205,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_195]),c_0_103]),
[final] ).
cnf(c_0_206,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_196]),c_0_124]) ).
cnf(c_0_207,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_197]),c_0_103]),
[final] ).
cnf(c_0_208,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_198]),
[final] ).
cnf(c_0_209,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_1)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_194,c_0_198]) ).
cnf(c_0_210,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(e_1,e_1,X1)
| ~ product(e_4,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_161]),c_0_77]),
[final] ).
cnf(c_0_211,plain,
( product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_119]),
[final] ).
cnf(c_0_212,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_199,c_0_116]),
[final] ).
cnf(c_0_213,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_111]) ).
cnf(c_0_214,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_202]),c_0_124]) ).
cnf(c_0_215,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_108]) ).
cnf(c_0_216,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_205]),
[final] ).
cnf(c_0_217,negated_conjecture,
( product(e_2,e_3,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_206]),c_0_108]),
[final] ).
cnf(c_0_218,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_56,c_0_161]),
[final] ).
cnf(c_0_219,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| ~ product(e_4,e_4,X1)
| ~ product(e_1,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_207]),c_0_96]),
[final] ).
cnf(c_0_220,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_108]) ).
cnf(c_0_221,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_210,c_0_57]),
[final] ).
cnf(c_0_222,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_143]),
[final] ).
cnf(c_0_223,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_2,e_1,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_213]),c_0_62]) ).
cnf(c_0_224,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_214]),c_0_108]),
[final] ).
cnf(c_0_225,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_116]),
[final] ).
cnf(c_0_226,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_193]),
[final] ).
cnf(c_0_227,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_215]),c_0_124]) ).
cnf(c_0_228,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_112]),
[final] ).
cnf(c_0_229,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_82]),
[final] ).
cnf(c_0_230,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_152]),c_0_124]) ).
cnf(c_0_231,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_166]),c_0_108]) ).
cnf(c_0_232,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_219,c_0_57]),
[final] ).
cnf(c_0_233,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_220]),c_0_124]) ).
cnf(c_0_234,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_222]) ).
cnf(c_0_235,axiom,
~ equalish(e_4,e_1),
e_4_is_not_e_1,
[final] ).
cnf(c_0_236,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_223]),c_0_67]) ).
cnf(c_0_237,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_224]),
[final] ).
cnf(c_0_238,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| ~ product(e_2,e_2,X1)
| ~ product(e_4,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_147]),c_0_108]),
[final] ).
cnf(c_0_239,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_49]),c_0_124]) ).
cnf(c_0_240,plain,
( product(e_3,e_4,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_122]),
[final] ).
cnf(c_0_241,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_190]),c_0_82]),
[final] ).
cnf(c_0_242,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_207]),
[final] ).
cnf(c_0_243,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_227]),c_0_108]),
[final] ).
cnf(c_0_244,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_155]) ).
cnf(c_0_245,plain,
( product(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_119]),
[final] ).
cnf(c_0_246,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_230]),c_0_143]),
[final] ).
cnf(c_0_247,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_231]),c_0_77]),
[final] ).
cnf(c_0_248,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_232,c_0_152]),
[final] ).
cnf(c_0_249,negated_conjecture,
( product(e_3,e_2,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_233]),c_0_108]),
[final] ).
cnf(c_0_250,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_234]),c_0_235]) ).
cnf(c_0_251,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_236]),c_0_143]),
[final] ).
cnf(c_0_252,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_122]),c_0_111]),
[final] ).
cnf(c_0_253,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_205]),c_0_111]),
[final] ).
cnf(c_0_254,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_224]),c_0_82]),
[final] ).
cnf(c_0_255,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_238,c_0_57]),
[final] ).
cnf(c_0_256,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_239]),c_0_143]),
[final] ).
cnf(c_0_257,plain,
( product(e_3,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_143]),
[final] ).
cnf(c_0_258,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_82]),
[final] ).
cnf(c_0_259,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_177]),c_0_96]) ).
cnf(c_0_260,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_244]),c_0_103]),
[final] ).
cnf(c_0_261,plain,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_155]),
[final] ).
cnf(c_0_262,plain,
( product(e_3,e_4,e_1)
| product(e_1,e_4,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_247]),c_0_143]),
[final] ).
cnf(c_0_263,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_248]),c_0_143]),
[final] ).
cnf(c_0_264,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_249]),c_0_82]),
[final] ).
cnf(c_0_265,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_250]),c_0_143]),
[final] ).
cnf(c_0_266,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_207]),c_0_124]),
[final] ).
cnf(c_0_267,axiom,
greater(e_3,e_1),
e_3_greater_e_1,
[final] ).
cnf(c_0_268,plain,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_251]),c_0_155]),
[final] ).
cnf(c_0_269,plain,
( equalish(e_1,X1)
| ~ cycle(X2,e_1)
| ~ cycle(X3,X4)
| ~ next(X4,X1)
| ~ next(X2,X3) ),
inference(spm,[status(thm)],[c_0_63,c_0_159]),
[final] ).
cnf(c_0_270,plain,
( ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ greater(e_4,X3)
| ~ greater(X4,X2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_88]),
[final] ).
cnf(c_0_271,plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(spm,[status(thm)],[c_0_51,c_0_45]),
[final] ).
cnf(c_0_272,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_252,c_0_57]),
[final] ).
cnf(c_0_273,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_3,e_1,X2)
| ~ product(e_2,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_253]),
[final] ).
cnf(c_0_274,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| equalish(X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_229]),
[final] ).
cnf(c_0_275,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| equalish(X1,e_3)
| ~ product(e_3,e_1,X2)
| ~ product(e_2,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_254]),
[final] ).
cnf(c_0_276,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_246]),
[final] ).
cnf(c_0_277,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_3,e_1,X2)
| ~ product(e_2,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_182]),
[final] ).
cnf(c_0_278,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_4,e_3,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_161]),
[final] ).
cnf(c_0_279,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_248]),
[final] ).
cnf(c_0_280,negated_conjecture,
( product(e_1,e_4,e_1)
| equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_247]),
[final] ).
cnf(c_0_281,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_4,e_3,X2)
| ~ product(e_2,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_147]),
[final] ).
cnf(c_0_282,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_255,c_0_119]),
[final] ).
cnf(c_0_283,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(X1,e_3)
| ~ product(e_3,e_1,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_179]),
[final] ).
cnf(c_0_284,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_256]),
[final] ).
cnf(c_0_285,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_1,e_4,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_257]),
[final] ).
cnf(c_0_286,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_258]),
[final] ).
cnf(c_0_287,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_241]),
[final] ).
cnf(c_0_288,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_4,e_1,X2)
| ~ product(e_2,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_49]),
[final] ).
cnf(c_0_289,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_4,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_152]),
[final] ).
cnf(c_0_290,negated_conjecture,
( product(e_3,e_4,e_1)
| equalish(X1,e_2)
| ~ product(e_2,e_4,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_122]),
[final] ).
cnf(c_0_291,negated_conjecture,
( product(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_119]),
[final] ).
cnf(c_0_292,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_259]),c_0_103]),
[final] ).
cnf(c_0_293,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_3,e_4,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_173]),
[final] ).
cnf(c_0_294,negated_conjecture,
( product(e_1,e_3,e_1)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_251]),
[final] ).
cnf(c_0_295,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_260]),
[final] ).
cnf(c_0_296,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product(e_3,e_2,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_112]),
[final] ).
cnf(c_0_297,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_1,e_3,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_261]),
[final] ).
cnf(c_0_298,negated_conjecture,
( product(e_1,e_4,e_1)
| equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_4,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_262]),
[final] ).
cnf(c_0_299,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_1,e_3,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_263]),
[final] ).
cnf(c_0_300,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_185]),
[final] ).
cnf(c_0_301,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_1,e_3,X2)
| ~ product(e_2,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_190]),
[final] ).
cnf(c_0_302,negated_conjecture,
( product(e_4,e_1,e_1)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_264]),
[final] ).
cnf(c_0_303,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_265]),c_0_155]),
[final] ).
cnf(c_0_304,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_4,e_1,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_116]),
[final] ).
cnf(c_0_305,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_256]),c_0_155]),
[final] ).
cnf(c_0_306,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_266,c_0_147]),
[final] ).
cnf(c_0_307,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_1,e_4,X2)
| ~ product(e_2,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_193]),
[final] ).
cnf(c_0_308,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_3,e_4,X2)
| ~ product(e_2,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_102]),
[final] ).
cnf(c_0_309,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_258]),c_0_143]),
[final] ).
cnf(c_0_310,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_1,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_3,X2) ),
inference(spm,[status(thm)],[c_0_98,c_0_267]),
[final] ).
cnf(c_0_311,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_1,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_264]),c_0_143]),
[final] ).
cnf(c_0_312,negated_conjecture,
( product(e_1,e_3,e_1)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_1,e_3,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_268]),
[final] ).
cnf(c_0_313,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_207]),
[final] ).
cnf(c_0_314,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| equalish(e_3,X1)
| cycle(e_2,e_1)
| ~ cycle(e_2,X2)
| ~ greater(X2,e_0)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_148,c_0_182]) ).
cnf(c_0_315,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_4,X1)
| ~ product(e_1,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_134]),c_0_82]),
[final] ).
cnf(c_0_316,plain,
( equalish(e_1,X1)
| cycle(e_2,e_1)
| ~ cycle(X2,X3)
| ~ next(e_3,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_269,c_0_158]),
[final] ).
cnf(c_0_317,plain,
( ~ cycle(e_2,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_4,X2) ),
inference(spm,[status(thm)],[c_0_270,c_0_50]),
[final] ).
cnf(c_0_318,plain,
( cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ greater(e_1,X3)
| ~ greater(X4,X2)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_271]),
[final] ).
cnf(c_0_319,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| ~ product(e_3,e_3,X1)
| ~ product(e_1,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_272]),c_0_111]),
[final] ).
cnf(c_0_320,axiom,
greater(e_4,e_1),
e_4_greater_e_1,
[final] ).
cnf(c_0_321,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
product_total_function2,
[final] ).
cnf(c_0_322,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product(e_2,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_273,c_0_116]),
[final] ).
cnf(c_0_323,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_274,c_0_105]),
[final] ).
cnf(c_0_324,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product(e_2,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_275,c_0_116]),
[final] ).
cnf(c_0_325,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_276,c_0_147]),
[final] ).
cnf(c_0_326,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_3,e_1,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_253]),
[final] ).
cnf(c_0_327,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_2,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_277,c_0_116]),
[final] ).
cnf(c_0_328,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_278,c_0_119]),
[final] ).
cnf(c_0_329,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_279,c_0_253]),
[final] ).
cnf(c_0_330,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_229]),
[final] ).
cnf(c_0_331,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_246]),
[final] ).
cnf(c_0_332,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| equalish(X1,e_1)
| ~ product(e_3,e_1,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_254]),
[final] ).
cnf(c_0_333,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_280,c_0_102]),
[final] ).
cnf(c_0_334,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_2,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_281,c_0_282]),
[final] ).
cnf(c_0_335,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_283,c_0_265]),
[final] ).
cnf(c_0_336,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_283,c_0_256]),
[final] ).
cnf(c_0_337,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_284,c_0_49]),
[final] ).
cnf(c_0_338,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| equalish(e_2,X1)
| ~ cycle(e_3,X2)
| ~ greater(X2,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_148,c_0_265]),
[final] ).
cnf(c_0_339,plain,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(e_2,X1)
| ~ cycle(e_3,X2)
| ~ greater(X2,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_148,c_0_256]),
[final] ).
cnf(c_0_340,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_285,c_0_241]),
[final] ).
cnf(c_0_341,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_286,c_0_254]),
[final] ).
cnf(c_0_342,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_241]),
[final] ).
cnf(c_0_343,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_287,c_0_102]),
[final] ).
cnf(c_0_344,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product(e_2,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_288,c_0_179]),
[final] ).
cnf(c_0_345,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_289,c_0_112]),
[final] ).
cnf(c_0_346,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(X1,e_1)
| ~ product(e_3,e_1,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_179]),
[final] ).
cnf(c_0_347,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_290,c_0_205]),
[final] ).
cnf(c_0_348,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_248]),
[final] ).
cnf(c_0_349,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_291,c_0_190]),
[final] ).
cnf(c_0_350,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_291,c_0_224]),
[final] ).
cnf(c_0_351,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_290,c_0_292]),
[final] ).
cnf(c_0_352,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_3,e_1,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_182]),
[final] ).
cnf(c_0_353,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_4,e_1)
| equalish(X1,e_3)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_293,c_0_122]),
[final] ).
cnf(c_0_354,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_294,c_0_147]),
[final] ).
cnf(c_0_355,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_260]),
[final] ).
cnf(c_0_356,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_295,c_0_229]),
[final] ).
cnf(c_0_357,negated_conjecture,
( product(e_1,e_4,e_1)
| equalish(X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_247]),
[final] ).
cnf(c_0_358,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_283,c_0_154]),
[final] ).
cnf(c_0_359,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_256]),
[final] ).
cnf(c_0_360,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_296,c_0_185]),
[final] ).
cnf(c_0_361,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_296,c_0_137]),
[final] ).
cnf(c_0_362,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_1,e_3,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_261]),
[final] ).
cnf(c_0_363,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_297,c_0_246]),
[final] ).
cnf(c_0_364,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_1,e_4,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_257]),
[final] ).
cnf(c_0_365,negated_conjecture,
( product(e_1,e_4,e_1)
| equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_298,c_0_247]),
[final] ).
cnf(c_0_366,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_258]),
[final] ).
cnf(c_0_367,negated_conjecture,
( product(e_4,e_3,e_1)
| equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_291,c_0_217]),
[final] ).
cnf(c_0_368,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_3,e_1)
| equalish(X1,e_1)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_299,c_0_246]) ).
cnf(c_0_369,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_283,c_0_149]),
[final] ).
cnf(c_0_370,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_2,e_2,X1)
| ~ product(e_3,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_253]),c_0_62]),
[final] ).
cnf(c_0_371,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_1,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_49]),
[final] ).
cnf(c_0_372,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_4,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_152]),
[final] ).
cnf(c_0_373,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_296,c_0_177]),
[final] ).
cnf(c_0_374,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_300,c_0_152]),
[final] ).
cnf(c_0_375,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product(e_3,e_2,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_112]),
[final] ).
cnf(c_0_376,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_2,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_301,c_0_161]),
[final] ).
cnf(c_0_377,negated_conjecture,
( product(e_1,e_3,e_1)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_251]),
[final] ).
cnf(c_0_378,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_290,c_0_193]),
[final] ).
cnf(c_0_379,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| ~ cycle(e_3,e_0)
| ~ greater(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_265]),
[final] ).
cnf(c_0_380,plain,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ cycle(e_3,e_0)
| ~ greater(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_256]),
[final] ).
cnf(c_0_381,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_4,e_4,X1)
| ~ product(e_1,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_260]),c_0_96]),
[final] ).
cnf(c_0_382,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_229]),c_0_67]),
[final] ).
cnf(c_0_383,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_185]),
[final] ).
cnf(c_0_384,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_1,e_3,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_190]),
[final] ).
cnf(c_0_385,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_302,c_0_182]),
[final] ).
cnf(c_0_386,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_3,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_134]),
[final] ).
cnf(c_0_387,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_3,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_134]),
[final] ).
cnf(c_0_388,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| ~ product(e_3,e_3,X1)
| ~ product(e_1,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_303]),c_0_111]),
[final] ).
cnf(c_0_389,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_296,c_0_243]),
[final] ).
cnf(c_0_390,negated_conjecture,
( product(e_1,e_4,e_1)
| equalish(X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_4,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_262]),
[final] ).
cnf(c_0_391,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_265]),c_0_143]),
[final] ).
cnf(c_0_392,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_1)
| equalish(X1,e_4)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_304,c_0_212]),
[final] ).
cnf(c_0_393,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_1,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_116]),
[final] ).
cnf(c_0_394,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_3,e_3,X1)
| ~ product(e_1,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_305]),c_0_111]),
[final] ).
cnf(c_0_395,negated_conjecture,
( product(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product(e_2,e_4,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_122]),
[final] ).
cnf(c_0_396,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_4,e_4,X1)
| ~ product(e_1,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_261]),c_0_82]),
[final] ).
cnf(c_0_397,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_246]),c_0_77]),
[final] ).
cnf(c_0_398,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(e_3,e_3,X1)
| ~ product(e_1,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_257]),c_0_111]),
[final] ).
cnf(c_0_399,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_241]),c_0_235]),
[final] ).
cnf(c_0_400,negated_conjecture,
( product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_119]),
[final] ).
cnf(c_0_401,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,e_3,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_161]),
[final] ).
cnf(c_0_402,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| ~ product(e_2,e_2,X1)
| ~ product(e_3,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_254]),c_0_62]),
[final] ).
cnf(c_0_403,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_4,e_4,X1)
| ~ product(e_1,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_263]),c_0_82]),
[final] ).
cnf(c_0_404,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(e_2,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_148,c_0_248]),
[final] ).
cnf(c_0_405,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(e_2,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_148,c_0_212]),
[final] ).
cnf(c_0_406,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(e_2,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_148,c_0_306]),
[final] ).
cnf(c_0_407,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_2,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_307,c_0_173]),
[final] ).
cnf(c_0_408,negated_conjecture,
( product(e_4,e_1,e_1)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_264]),
[final] ).
cnf(c_0_409,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_4,e_4,X1)
| ~ product(e_1,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_222]),c_0_82]),
[final] ).
cnf(c_0_410,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_2,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_308,c_0_129]),
[final] ).
cnf(c_0_411,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,e_2,X1)
| ~ product(e_1,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_217]),c_0_108]),
[final] ).
cnf(c_0_412,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_217]),
[final] ).
cnf(c_0_413,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_1)
| ~ cycle(e_3,e_0)
| ~ greater(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_149]),
[final] ).
cnf(c_0_414,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_248]),c_0_155]),
[final] ).
cnf(c_0_415,plain,
( product(e_3,e_1,e_1)
| equalish(e_2,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_3,X2)
| ~ greater(X2,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_148,c_0_154]),
[final] ).
cnf(c_0_416,axiom,
greater(e_4,e_0),
e_4_greater_e_0,
[final] ).
cnf(c_0_417,negated_conjecture,
( product(e_3,e_4,e_1)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_290,c_0_198]),
[final] ).
cnf(c_0_418,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(e_2,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_148,c_0_258]),
[final] ).
cnf(c_0_419,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| ~ product(e_4,e_4,X1)
| ~ product(e_1,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_309]),c_0_82]),
[final] ).
cnf(c_0_420,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_258]),c_0_155]),
[final] ).
cnf(c_0_421,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_212]),c_0_155]),
[final] ).
cnf(c_0_422,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| ~ product(e_3,e_3,X1)
| ~ product(e_1,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_243]),c_0_124]),
[final] ).
cnf(c_0_423,negated_conjecture,
( product(e_1,e_4,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,e_3,X1)
| ~ product(e_1,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_262]),c_0_111]),
[final] ).
cnf(c_0_424,negated_conjecture,
( product(e_1,e_4,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_247]),c_0_235]),
[final] ).
cnf(c_0_425,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_1,X1)
| ~ cycle(e_4,X2)
| ~ greater(X1,X2) ),
inference(spm,[status(thm)],[c_0_310,c_0_81]),
[final] ).
cnf(c_0_426,negated_conjecture,
( product(e_3,e_1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,e_3,X1)
| ~ product(e_1,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_166]),c_0_111]),
[final] ).
cnf(c_0_427,negated_conjecture,
( product(e_3,e_1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_154]),c_0_143]),
[final] ).
cnf(c_0_428,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_296,c_0_249]),
[final] ).
cnf(c_0_429,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_306]),c_0_155]),
[final] ).
cnf(c_0_430,negated_conjecture,
( product(e_4,e_1,e_1)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_148,c_0_264]),
[final] ).
cnf(c_0_431,negated_conjecture,
( product(e_4,e_1,e_1)
| cycle(e_2,e_1)
| ~ product(e_4,e_4,X1)
| ~ product(e_1,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_311]),c_0_82]),
[final] ).
cnf(c_0_432,negated_conjecture,
( product(e_4,e_1,e_1)
| cycle(e_2,e_1)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_264]),c_0_155]),
[final] ).
cnf(c_0_433,negated_conjecture,
( cycle(e_2,e_1)
| ~ product(e_3,e_3,X1)
| ~ product(e_1,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_249]),c_0_124]),
[final] ).
cnf(c_0_434,negated_conjecture,
( cycle(e_2,e_1)
| ~ product(e_2,e_2,X1)
| ~ product(e_1,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_198]),c_0_103]),
[final] ).
cnf(c_0_435,negated_conjecture,
( product(e_1,e_3,e_1)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_1,e_3,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_268]),
[final] ).
cnf(c_0_436,negated_conjecture,
( product(e_1,e_3,e_1)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_312,c_0_251]),
[final] ).
cnf(c_0_437,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_3,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_268]),c_0_108]) ).
cnf(c_0_438,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| equalish(e_3,X1)
| cycle(e_2,e_1)
| ~ cycle(e_2,e_2)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_314,c_0_79]) ).
cnf(c_0_439,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_1,e_4,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_193]),
[final] ).
cnf(c_0_440,negated_conjecture,
( product(e_1,e_3,e_1)
| cycle(e_2,e_1)
| ~ product(e_4,e_4,X1)
| ~ product(e_1,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_268]),c_0_82]),
[final] ).
cnf(c_0_441,negated_conjecture,
( product(e_1,e_3,e_1)
| cycle(e_2,e_1)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_251]),c_0_77]),
[final] ).
cnf(c_0_442,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_2,e_1)
| ~ product(e_2,e_2,X1)
| ~ product(e_3,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_182]),c_0_62]),
[final] ).
cnf(c_0_443,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(e_4,X1)
| ~ cycle(e_3,X2)
| ~ greater(X2,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_148,c_0_116]),
[final] ).
cnf(c_0_444,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_4,e_2,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_105]),
[final] ).
cnf(c_0_445,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_2,e_2,X1)
| ~ product(e_1,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_205]),c_0_103]),
[final] ).
cnf(c_0_446,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_1)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_149]),c_0_143]),
[final] ).
cnf(c_0_447,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_3,e_3,X1)
| ~ product(e_1,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_137]),c_0_124]),
[final] ).
cnf(c_0_448,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_2,e_2,X1)
| ~ product(e_1,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_224]),c_0_108]),
[final] ).
cnf(c_0_449,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| ~ product(e_2,e_2,X1)
| ~ product(e_1,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_292]),c_0_103]),
[final] ).
cnf(c_0_450,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| ~ product(e_3,e_3,X1)
| ~ product(e_1,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_177]),c_0_124]),
[final] ).
cnf(c_0_451,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,e_3,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_147]),
[final] ).
cnf(c_0_452,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_3,e_4,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_173]),
[final] ).
cnf(c_0_453,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| ~ product(e_4,e_4,X1)
| ~ product(e_1,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_141]),c_0_96]),
[final] ).
cnf(c_0_454,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_2,e_2,X1)
| ~ product(e_4,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_49]),c_0_62]),
[final] ).
cnf(c_0_455,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_4,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_272]),
[final] ).
cnf(c_0_456,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_3,e_3,X1)
| ~ product(e_4,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_116]),c_0_143]),
[final] ).
cnf(c_0_457,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_1,e_1,X1)
| ~ product(e_4,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_152]),c_0_67]),
[final] ).
cnf(c_0_458,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_224]),
[final] ).
cnf(c_0_459,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| ~ product(e_3,e_3,X1)
| ~ product(e_4,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_105]),c_0_124]),
[final] ).
cnf(c_0_460,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| ~ product(e_4,e_4,X1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_315,c_0_147]),
[final] ).
cnf(c_0_461,plain,
( equalish(e_1,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_316,c_0_81]),
[final] ).
cnf(c_0_462,plain,
( ~ cycle(e_3,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_4,X2) ),
inference(spm,[status(thm)],[c_0_270,c_0_133]),
[final] ).
cnf(c_0_463,axiom,
( equalish(X2,X3)
| ~ cycle(X1,X2)
| ~ cycle(X1,X3) ),
cycle1,
[final] ).
cnf(c_0_464,plain,
( cycle(e_2,e_1)
| ~ cycle(X1,X2)
| ~ greater(e_2,X2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_317,c_0_117]),
[final] ).
cnf(c_0_465,axiom,
greater(e_2,e_1),
e_2_greater_e_1,
[final] ).
cnf(c_0_466,plain,
( cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ cycle(e_0,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_1,X2) ),
inference(spm,[status(thm)],[c_0_318,c_0_159]),
[final] ).
cnf(c_0_467,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_0,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_3,X2) ),
inference(spm,[status(thm)],[c_0_98,c_0_64]),
[final] ).
cnf(c_0_468,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_3,e_4,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_102]),
[final] ).
cnf(c_0_469,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_134]),
[final] ).
cnf(c_0_470,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(e_3,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_148,c_0_179]),
[final] ).
cnf(c_0_471,plain,
( equalish(e_1,X1)
| ~ cycle(e_1,X2)
| ~ greater(X2,e_0)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_148,c_0_57]),
[final] ).
cnf(c_0_472,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| ~ product(e_3,e_3,X1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_319,c_0_102]),
[final] ).
cnf(c_0_473,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_173]),c_0_235]),
[final] ).
cnf(c_0_474,plain,
( ~ cycle(e_1,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_4,X2) ),
inference(spm,[status(thm)],[c_0_270,c_0_320]),
[final] ).
cnf(c_0_475,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_4,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_272]),
[final] ).
cnf(c_0_476,plain,
( ~ cycle(e_1,e_0)
| ~ greater(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_57]),
[final] ).
cnf(c_0_477,plain,
( equalish(X1,X2)
| ~ product(X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_57]),
[final] ).
cnf(c_0_478,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| ~ product(e_4,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_147]),c_0_111]),
[final] ).
cnf(c_0_479,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_4,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_161]),c_0_111]),
[final] ).
cnf(c_0_480,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| ~ product(e_4,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_147]),c_0_111]),
[final] ).
cnf(c_0_481,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| ~ product(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_173]),c_0_108]),
[final] ).
cnf(c_0_482,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_326,c_0_116]),
[final] ).
cnf(c_0_483,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_205]),c_0_143]),
[final] ).
cnf(c_0_484,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_2,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_57]),c_0_124]),
[final] ).
cnf(c_0_485,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| cycle(e_2,e_1)
| ~ product(e_4,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_147]),c_0_111]),
[final] ).
cnf(c_0_486,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_4,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_247]),c_0_124]),
[final] ).
cnf(c_0_487,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_229]),c_0_82]),
[final] ).
cnf(c_0_488,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_112]),c_0_108]),
[final] ).
cnf(c_0_489,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_330,c_0_105]),
[final] ).
cnf(c_0_490,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_57]),c_0_143]),
[final] ).
cnf(c_0_491,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_331,c_0_147]),
[final] ).
cnf(c_0_492,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| ~ product(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_152]),c_0_103]),
[final] ).
cnf(c_0_493,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| ~ product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_57]),c_0_62]),
[final] ).
cnf(c_0_494,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_332,c_0_116]),
[final] ).
cnf(c_0_495,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_193]),c_0_143]),
[final] ).
cnf(c_0_496,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_2,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_57]),c_0_124]),
[final] ).
cnf(c_0_497,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_229]),c_0_108]),
[final] ).
cnf(c_0_498,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_253]),c_0_82]),
[final] ).
cnf(c_0_499,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| product(e_4,e_3,e_1)
| ~ product(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_119]),c_0_124]),
[final] ).
cnf(c_0_500,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_4,e_3,e_1)
| ~ product(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_119]),c_0_124]),
[final] ).
cnf(c_0_501,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| ~ product(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_105]),c_0_103]),
[final] ).
cnf(c_0_502,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| equalish(e_2,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ greater(e_0,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_338,c_0_74]),
[final] ).
cnf(c_0_503,plain,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(e_2,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ greater(e_0,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_339,c_0_74]),
[final] ).
cnf(c_0_504,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| ~ product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_105]),c_0_235]),
[final] ).
cnf(c_0_505,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_112]),c_0_108]),
[final] ).
cnf(c_0_506,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_102]),
[final] ).
cnf(c_0_507,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| ~ product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_161]),c_0_103]),
[final] ).
cnf(c_0_508,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| ~ product(e_1,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_57]),c_0_62]),
[final] ).
cnf(c_0_509,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_102]),c_0_82]),
[final] ).
cnf(c_0_510,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_173]),c_0_82]),
[final] ).
cnf(c_0_511,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_346,c_0_265]),
[final] ).
cnf(c_0_512,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| ~ product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_207]),c_0_143]),
[final] ).
cnf(c_0_513,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| ~ product(e_4,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_57]),c_0_111]),
[final] ).
cnf(c_0_514,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_116]),c_0_103]),
[final] ).
cnf(c_0_515,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| equalish(X1,e_1)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_348,c_0_253]),
[final] ).
cnf(c_0_516,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_263]),c_0_62]),
[final] ).
cnf(c_0_517,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| ~ product(e_4,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_57]),c_0_103]),
[final] ).
cnf(c_0_518,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| ~ product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_141]),c_0_62]),
[final] ).
cnf(c_0_519,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| ~ product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_303]),c_0_155]),
[final] ).
cnf(c_0_520,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| ~ product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_265]),c_0_96]),
[final] ).
cnf(c_0_521,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| ~ product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_141]),c_0_62]),
[final] ).
cnf(c_0_522,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_346,c_0_256]),
[final] ).
cnf(c_0_523,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_207]),c_0_143]),
[final] ).
cnf(c_0_524,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_4,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_57]),c_0_111]),
[final] ).
cnf(c_0_525,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_116]),c_0_103]),
[final] ).
cnf(c_0_526,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_305]),c_0_155]),
[final] ).
cnf(c_0_527,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_254]),c_0_82]),
[final] ).
cnf(c_0_528,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_352,c_0_116]),
[final] ).
cnf(c_0_529,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_246]),c_0_124]),
[final] ).
cnf(c_0_530,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| cycle(e_2,e_1)
| ~ product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_198]),c_0_143]),
[final] ).
cnf(c_0_531,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| cycle(e_2,e_1)
| ~ product(e_2,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_57]),c_0_124]),
[final] ).
cnf(c_0_532,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| cycle(e_2,e_1)
| ~ product(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_173]),c_0_108]),
[final] ).
cnf(c_0_533,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_355,c_0_229]),
[final] ).
cnf(c_0_534,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_179]),c_0_77]),
[final] ).
cnf(c_0_535,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_4,e_3,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_119]),c_0_67]),
[final] ).
cnf(c_0_536,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_4,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_57]),c_0_235]),
[final] ).
cnf(c_0_537,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_357,c_0_102]),
[final] ).
cnf(c_0_538,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_57]),c_0_62]),
[final] ).
cnf(c_0_539,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product(e_1,e_4,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_303]),
[final] ).
cnf(c_0_540,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_1,e_4,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_303]),
[final] ).
cnf(c_0_541,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_3,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_119]),c_0_124]),
[final] ).
cnf(c_0_542,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_265]),
[final] ).
cnf(c_0_543,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_265]),
[final] ).
cnf(c_0_544,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_1)
| equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_346,c_0_154]),
[final] ).
cnf(c_0_545,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_207]),c_0_143]),
[final] ).
cnf(c_0_546,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_4,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_57]),c_0_111]),
[final] ).
cnf(c_0_547,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_1,e_4,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_305]),
[final] ).
cnf(c_0_548,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_1,e_4,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_305]),
[final] ).
cnf(c_0_549,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_359,c_0_49]),
[final] ).
cnf(c_0_550,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_305]),c_0_62]),
[final] ).
cnf(c_0_551,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_57]),c_0_108]),
[final] ).
cnf(c_0_552,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_1,e_3,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_134]),c_0_143]),
[final] ).
cnf(c_0_553,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_1,e_3,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_134]),c_0_143]),
[final] ).
cnf(c_0_554,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_362,c_0_246]),
[final] ).
cnf(c_0_555,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| ~ product(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_112]),c_0_77]),
[final] ).
cnf(c_0_556,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_4,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_57]),c_0_235]),
[final] ).
cnf(c_0_557,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_364,c_0_241]),
[final] ).
cnf(c_0_558,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(e_3,X1)
| ~ cycle(e_2,X2)
| ~ greater(X2,e_0)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_148,c_0_253]),
[final] ).
cnf(c_0_559,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| ~ product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_265]),c_0_67]),
[final] ).
cnf(c_0_560,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_57]),c_0_77]),
[final] ).
cnf(c_0_561,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_105]),c_0_235]),
[final] ).
cnf(c_0_562,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_1)
| equalish(e_2,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ greater(e_0,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_157,c_0_74]),
[final] ).
cnf(c_0_563,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| equalish(X1,e_1)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_366,c_0_254]),
[final] ).
cnf(c_0_564,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_141]),c_0_62]),
[final] ).
cnf(c_0_565,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_309]),c_0_62]),
[final] ).
cnf(c_0_566,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| ~ product(e_4,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_57]),c_0_103]),
[final] ).
cnf(c_0_567,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_154]),c_0_96]),
[final] ).
cnf(c_0_568,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_166]),c_0_155]),
[final] ).
cnf(c_0_569,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_3,e_1)
| ~ product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_248]),c_0_67]),
[final] ).
cnf(c_0_570,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_3,e_1)
| ~ product(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_119]),c_0_124]),
[final] ).
cnf(c_0_571,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_3,e_1)
| ~ product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_246]),c_0_96]),
[final] ).
cnf(c_0_572,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_4,e_1,e_1)
| ~ product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_248]),c_0_124]),
[final] ).
cnf(c_0_573,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_370,c_0_57]),
[final] ).
cnf(c_0_574,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_4,e_3,e_1)
| ~ product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_119]),c_0_124]),
[final] ).
cnf(c_0_575,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_4,e_1,e_1)
| ~ product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_263]),c_0_143]),
[final] ).
cnf(c_0_576,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(X1,e_1)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_371,c_0_179]),
[final] ).
cnf(c_0_577,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_224]),c_0_155]),
[final] ).
cnf(c_0_578,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_57]),c_0_96]),
[final] ).
cnf(c_0_579,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_1)
| ~ product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_212]),c_0_124]),
[final] ).
cnf(c_0_580,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_3,e_1)
| ~ product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_119]),c_0_124]),
[final] ).
cnf(c_0_581,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_1)
| ~ product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_222]),c_0_143]),
[final] ).
cnf(c_0_582,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_346,c_0_149]),
[final] ).
cnf(c_0_583,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_1)
| ~ product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_207]),c_0_143]),
[final] ).
cnf(c_0_584,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_1)
| ~ product(e_4,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_57]),c_0_111]),
[final] ).
cnf(c_0_585,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_372,c_0_112]),
[final] ).
cnf(c_0_586,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_4,e_1,e_1)
| ~ product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_306]),c_0_124]),
[final] ).
cnf(c_0_587,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_116]),c_0_235]),
[final] ).
cnf(c_0_588,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| ~ product(e_1,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_57]),c_0_155]),
[final] ).
cnf(c_0_589,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_375,c_0_185]),
[final] ).
cnf(c_0_590,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_4,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_57]),c_0_111]),
[final] ).
cnf(c_0_591,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_49]),c_0_235]),
[final] ).
cnf(c_0_592,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_375,c_0_137]),
[final] ).
cnf(c_0_593,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_375,c_0_177]),
[final] ).
cnf(c_0_594,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_179]),c_0_108]),
[final] ).
cnf(c_0_595,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| ~ product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_112]),c_0_108]),
[final] ).
cnf(c_0_596,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_207]),c_0_62]),
[final] ).
cnf(c_0_597,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_4,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_57]),c_0_111]),
[final] ).
cnf(c_0_598,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| ~ product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_282]),c_0_143]),
[final] ).
cnf(c_0_599,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| ~ product(e_4,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_57]),c_0_111]),
[final] ).
cnf(c_0_600,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_179]),c_0_108]),
[final] ).
cnf(c_0_601,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| ~ product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_112]),c_0_108]),
[final] ).
cnf(c_0_602,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_207]),c_0_62]),
[final] ).
cnf(c_0_603,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_1)
| ~ product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_149]),c_0_96]),
[final] ).
cnf(c_0_604,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_377,c_0_147]),
[final] ).
cnf(c_0_605,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_4,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_152]),c_0_111]),
[final] ).
cnf(c_0_606,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| cycle(e_2,e_1)
| ~ product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_57]),c_0_62]),
[final] ).
cnf(c_0_607,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_253]),
[final] ).
cnf(c_0_608,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_56,c_0_253]),
[final] ).
cnf(c_0_609,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_116]),c_0_103]),
[final] ).
cnf(c_0_610,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_253]),
[final] ).
cnf(c_0_611,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ greater(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_379,c_0_74]),
[final] ).
cnf(c_0_612,plain,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ greater(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_380,c_0_74]),
[final] ).
cnf(c_0_613,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_381,c_0_57]),
[final] ).
cnf(c_0_614,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_382,c_0_57]),
[final] ).
cnf(c_0_615,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_1,e_3,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_309]),
[final] ).
cnf(c_0_616,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_1,e_3,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_309]),
[final] ).
cnf(c_0_617,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_1,e_4,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_205]),
[final] ).
cnf(c_0_618,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_1,e_4,X2)
| ~ product(e_2,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_205]),
[final] ).
cnf(c_0_619,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_383,c_0_152]),
[final] ).
cnf(c_0_620,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_3,e_4,e_1)
| ~ product(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_122]),c_0_67]),
[final] ).
cnf(c_0_621,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_57]),c_0_77]),
[final] ).
cnf(c_0_622,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_149]),
[final] ).
cnf(c_0_623,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_149]),
[final] ).
cnf(c_0_624,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_137]),
[final] ).
cnf(c_0_625,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_137]),
[final] ).
cnf(c_0_626,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_384,c_0_161]),
[final] ).
cnf(c_0_627,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| cycle(e_2,e_1)
| ~ product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_112]),c_0_108]),
[final] ).
cnf(c_0_628,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| ~ product(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_102]),c_0_77]),
[final] ).
cnf(c_0_629,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(e_2,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_57]),c_0_67]),
[final] ).
cnf(c_0_630,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product(e_1,e_3,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_224]),
[final] ).
cnf(c_0_631,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_1,e_3,X2)
| ~ product(e_2,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_224]),
[final] ).
cnf(c_0_632,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_1,e_4,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_292]),
[final] ).
cnf(c_0_633,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_1,e_4,X2)
| ~ product(e_2,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_292]),
[final] ).
cnf(c_0_634,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_177]),
[final] ).
cnf(c_0_635,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_177]),
[final] ).
cnf(c_0_636,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_1,e_3,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_386,c_0_147]),
[final] ).
cnf(c_0_637,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_1,e_3,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_387,c_0_147]),
[final] ).
cnf(c_0_638,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| equalish(e_3,X1)
| ~ cycle(e_2,X2)
| ~ greater(X2,e_0)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_148,c_0_254]),
[final] ).
cnf(c_0_639,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_388,c_0_57]),
[final] ).
cnf(c_0_640,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_375,c_0_243]),
[final] ).
cnf(c_0_641,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| ~ product(e_1,e_3,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_134]),c_0_143]),
[final] ).
cnf(c_0_642,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_1)
| ~ product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_258]),c_0_124]),
[final] ).
cnf(c_0_643,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_3,e_1)
| ~ product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_119]),c_0_124]),
[final] ).
cnf(c_0_644,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_1)
| ~ product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_309]),c_0_143]),
[final] ).
cnf(c_0_645,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| ~ product(e_4,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_57]),c_0_111]),
[final] ).
cnf(c_0_646,negated_conjecture,
( product(e_1,e_4,e_1)
| equalish(X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_390,c_0_247]),
[final] ).
cnf(c_0_647,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_391,c_0_57]),
[final] ).
cnf(c_0_648,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_3,e_1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_154]),c_0_67]),
[final] ).
cnf(c_0_649,negated_conjecture,
( product(e_1,e_4,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_57]),c_0_77]),
[final] ).
cnf(c_0_650,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_3,e_4,e_1)
| ~ product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_122]),c_0_96]),
[final] ).
cnf(c_0_651,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_393,c_0_212]),
[final] ).
cnf(c_0_652,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_1)
| ~ product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_137]),c_0_155]),
[final] ).
cnf(c_0_653,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_1)
| ~ product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_57]),c_0_82]),
[final] ).
cnf(c_0_654,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_394,c_0_57]),
[final] ).
cnf(c_0_655,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_256]),c_0_143]),
[final] ).
cnf(c_0_656,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_395,c_0_205]),
[final] ).
cnf(c_0_657,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_3,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_57]),c_0_108]),
[final] ).
cnf(c_0_658,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_2,e_1)
| ~ product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_182]),c_0_82]),
[final] ).
cnf(c_0_659,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_396,c_0_57]),
[final] ).
cnf(c_0_660,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_397,c_0_57]),
[final] ).
cnf(c_0_661,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_398,c_0_57]),
[final] ).
cnf(c_0_662,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_399,c_0_57]),
[final] ).
cnf(c_0_663,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_400,c_0_190]),
[final] ).
cnf(c_0_664,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(e_4,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_57]),c_0_103]),
[final] ).
cnf(c_0_665,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_401,c_0_119]),
[final] ).
cnf(c_0_666,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_402,c_0_57]),
[final] ).
cnf(c_0_667,negated_conjecture,
( product(e_3,e_1,e_1)
| equalish(X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_4,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_166]),
[final] ).
cnf(c_0_668,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_303]),
[final] ).
cnf(c_0_669,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_303]),
[final] ).
cnf(c_0_670,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_303]),
[final] ).
cnf(c_0_671,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_265]),
[final] ).
cnf(c_0_672,negated_conjecture,
( product(e_3,e_1,e_1)
| equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_4,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_166]),
[final] ).
cnf(c_0_673,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_265]),
[final] ).
cnf(c_0_674,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_265]),
[final] ).
cnf(c_0_675,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| product(e_1,e_4,e_1)
| ~ product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_241]),c_0_96]),
[final] ).
cnf(c_0_676,negated_conjecture,
( product(e_3,e_1,e_1)
| equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_154]),
[final] ).
cnf(c_0_677,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_400,c_0_224]),
[final] ).
cnf(c_0_678,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_4,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_57]),c_0_103]),
[final] ).
cnf(c_0_679,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_3,e_1)
| ~ product(e_1,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_57]),c_0_155]),
[final] ).
cnf(c_0_680,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_395,c_0_292]),
[final] ).
cnf(c_0_681,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_179]),c_0_108]),
[final] ).
cnf(c_0_682,negated_conjecture,
( product(e_3,e_1,e_1)
| equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_154]),
[final] ).
cnf(c_0_683,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| ~ product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_177]),c_0_62]),
[final] ).
cnf(c_0_684,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| ~ product(e_3,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_57]),c_0_108]),
[final] ).
cnf(c_0_685,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_112]),c_0_108]),
[final] ).
cnf(c_0_686,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_207]),c_0_62]),
[final] ).
cnf(c_0_687,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_403,c_0_57]),
[final] ).
cnf(c_0_688,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| equalish(X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_260]),
[final] ).
cnf(c_0_689,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_260]),
[final] ).
cnf(c_0_690,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_260]),
[final] ).
cnf(c_0_691,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_1,e_3,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_263]),
[final] ).
cnf(c_0_692,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(e_2,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_404,c_0_88]),
[final] ).
cnf(c_0_693,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(e_2,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_88]),
[final] ).
cnf(c_0_694,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(e_2,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_88]),
[final] ).
cnf(c_0_695,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_229]),
[final] ).
cnf(c_0_696,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_56,c_0_229]),
[final] ).
cnf(c_0_697,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| equalish(X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_229]),
[final] ).
cnf(c_0_698,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| ~ product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_147]),c_0_235]),
[final] ).
cnf(c_0_699,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_408,c_0_182]),
[final] ).
cnf(c_0_700,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_2,e_1)
| ~ product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_311]),c_0_62]),
[final] ).
cnf(c_0_701,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_2,e_1)
| ~ product(e_4,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_57]),c_0_103]),
[final] ).
cnf(c_0_702,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_129]),c_0_155]),
[final] ).
cnf(c_0_703,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_409,c_0_57]),
[final] ).
cnf(c_0_704,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product(e_1,e_3,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_222]),
[final] ).
cnf(c_0_705,plain,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_305]),
[final] ).
cnf(c_0_706,plain,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_305]),
[final] ).
cnf(c_0_707,plain,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_305]),
[final] ).
cnf(c_0_708,plain,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_256]),
[final] ).
cnf(c_0_709,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_224]),c_0_143]),
[final] ).
cnf(c_0_710,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_1,e_3,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_222]),
[final] ).
cnf(c_0_711,plain,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_256]),
[final] ).
cnf(c_0_712,plain,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_256]),
[final] ).
cnf(c_0_713,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_261]),
[final] ).
cnf(c_0_714,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_261]),
[final] ).
cnf(c_0_715,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_261]),
[final] ).
cnf(c_0_716,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_246]),
[final] ).
cnf(c_0_717,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_246]),
[final] ).
cnf(c_0_718,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_246]),
[final] ).
cnf(c_0_719,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_3,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_217]),
[final] ).
cnf(c_0_720,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_3,X2)
| ~ product(e_2,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_217]),
[final] ).
cnf(c_0_721,negated_conjecture,
( product(e_4,e_3,e_1)
| equalish(X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_400,c_0_217]),
[final] ).
cnf(c_0_722,negated_conjecture,
( product(e_4,e_3,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_4,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_57]),c_0_103]),
[final] ).
cnf(c_0_723,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_217]),c_0_143]),
[final] ).
cnf(c_0_724,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_411,c_0_57]),
[final] ).
cnf(c_0_725,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_134]),c_0_103]),
[final] ).
cnf(c_0_726,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_217]),
[final] ).
cnf(c_0_727,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_217]),
[final] ).
cnf(c_0_728,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_257]),
[final] ).
cnf(c_0_729,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_257]),
[final] ).
cnf(c_0_730,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_257]),
[final] ).
cnf(c_0_731,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_241]),
[final] ).
cnf(c_0_732,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_49]),c_0_111]),
[final] ).
cnf(c_0_733,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ greater(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_413,c_0_74]),
[final] ).
cnf(c_0_734,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_414,c_0_57]),
[final] ).
cnf(c_0_735,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_241]),
[final] ).
cnf(c_0_736,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_241]),
[final] ).
cnf(c_0_737,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_254]),
[final] ).
cnf(c_0_738,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_56,c_0_254]),
[final] ).
cnf(c_0_739,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| equalish(X1,e_3)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_254]),
[final] ).
cnf(c_0_740,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_263]),
[final] ).
cnf(c_0_741,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_263]),
[final] ).
cnf(c_0_742,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_263]),
[final] ).
cnf(c_0_743,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_222]),
[final] ).
cnf(c_0_744,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_222]),
[final] ).
cnf(c_0_745,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_222]),
[final] ).
cnf(c_0_746,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_248]),
[final] ).
cnf(c_0_747,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_248]),
[final] ).
cnf(c_0_748,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_248]),
[final] ).
cnf(c_0_749,plain,
( product(e_3,e_1,e_1)
| equalish(e_2,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_3,e_4)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_415,c_0_416]),
[final] ).
cnf(c_0_750,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| cycle(e_2,e_1)
| ~ product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_116]),c_0_103]),
[final] ).
cnf(c_0_751,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_243]),
[final] ).
cnf(c_0_752,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_243]),
[final] ).
cnf(c_0_753,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(e_2,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_418,c_0_88]),
[final] ).
cnf(c_0_754,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_4,e_1)
| product(e_1,e_3,e_1)
| cycle(e_2,e_1)
| ~ product(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_251]),c_0_124]),
[final] ).
cnf(c_0_755,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_419,c_0_57]),
[final] ).
cnf(c_0_756,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_420,c_0_57]),
[final] ).
cnf(c_0_757,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_309]),
[final] ).
cnf(c_0_758,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_309]),
[final] ).
cnf(c_0_759,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_309]),
[final] ).
cnf(c_0_760,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_421,c_0_57]),
[final] ).
cnf(c_0_761,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_258]),
[final] ).
cnf(c_0_762,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_258]),
[final] ).
cnf(c_0_763,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_258]),
[final] ).
cnf(c_0_764,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_422,c_0_57]),
[final] ).
cnf(c_0_765,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_243]),c_0_62]),
[final] ).
cnf(c_0_766,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_212]),
[final] ).
cnf(c_0_767,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_243]),
[final] ).
cnf(c_0_768,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_243]),
[final] ).
cnf(c_0_769,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_243]),
[final] ).
cnf(c_0_770,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| ~ greater(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_258]),c_0_88])]),
[final] ).
cnf(c_0_771,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_212]),
[final] ).
cnf(c_0_772,negated_conjecture,
( product(e_1,e_4,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_423,c_0_57]),
[final] ).
cnf(c_0_773,negated_conjecture,
( product(e_1,e_4,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_424,c_0_57]),
[final] ).
cnf(c_0_774,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ cycle(e_4,X1)
| ~ greater(e_0,X1) ),
inference(spm,[status(thm)],[c_0_425,c_0_271]),
[final] ).
cnf(c_0_775,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_212]),
[final] ).
cnf(c_0_776,negated_conjecture,
( product(e_3,e_1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_426,c_0_57]),
[final] ).
cnf(c_0_777,negated_conjecture,
( product(e_3,e_1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_427,c_0_57]),
[final] ).
cnf(c_0_778,negated_conjecture,
( product(e_4,e_1,e_1)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_1,e_3,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_311]),
[final] ).
cnf(c_0_779,negated_conjecture,
( product(e_4,e_1,e_1)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_1,e_3,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_311]),
[final] ).
cnf(c_0_780,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| cycle(e_2,e_1)
| ~ product(e_1,e_3,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_134]),c_0_143]),
[final] ).
cnf(c_0_781,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_1)
| cycle(e_2,e_1)
| ~ product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_264]),c_0_124]),
[final] ).
cnf(c_0_782,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_3,e_1)
| cycle(e_2,e_1)
| ~ product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_119]),c_0_124]),
[final] ).
cnf(c_0_783,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_212]),
[final] ).
cnf(c_0_784,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_1)
| cycle(e_2,e_1)
| ~ product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_311]),c_0_143]),
[final] ).
cnf(c_0_785,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_375,c_0_249]),
[final] ).
cnf(c_0_786,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| cycle(e_2,e_1)
| ~ product(e_4,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_57]),c_0_111]),
[final] ).
cnf(c_0_787,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_429,c_0_57]),
[final] ).
cnf(c_0_788,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_212]),
[final] ).
cnf(c_0_789,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_249]),
[final] ).
cnf(c_0_790,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_249]),
[final] ).
cnf(c_0_791,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_1,e_4,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_198]),
[final] ).
cnf(c_0_792,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_1,e_4,X2)
| ~ product(e_2,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_198]),
[final] ).
cnf(c_0_793,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_141]),
[final] ).
cnf(c_0_794,negated_conjecture,
( product(e_4,e_1,e_1)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,e_1)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_430,c_0_159]),
[final] ).
cnf(c_0_795,negated_conjecture,
( product(e_4,e_1,e_1)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,e_2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_430,c_0_79]),
[final] ).
cnf(c_0_796,negated_conjecture,
( product(e_4,e_1,e_1)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,e_3)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_430,c_0_64]),
[final] ).
cnf(c_0_797,negated_conjecture,
( product(e_4,e_1,e_1)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,e_4)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_430,c_0_416]),
[final] ).
cnf(c_0_798,negated_conjecture,
( product(e_4,e_1,e_1)
| cycle(e_2,e_1)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_431,c_0_57]),
[final] ).
cnf(c_0_799,negated_conjecture,
( product(e_4,e_1,e_1)
| cycle(e_2,e_1)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_432,c_0_57]),
[final] ).
cnf(c_0_800,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_141]),
[final] ).
cnf(c_0_801,negated_conjecture,
( product(e_3,e_4,e_1)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_395,c_0_198]),
[final] ).
cnf(c_0_802,negated_conjecture,
( product(e_3,e_4,e_1)
| cycle(e_2,e_1)
| ~ product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_249]),c_0_62]),
[final] ).
cnf(c_0_803,negated_conjecture,
( product(e_3,e_4,e_1)
| cycle(e_2,e_1)
| ~ product(e_3,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_57]),c_0_108]),
[final] ).
cnf(c_0_804,negated_conjecture,
( product(e_4,e_1,e_1)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_311]),
[final] ).
cnf(c_0_805,negated_conjecture,
( product(e_4,e_1,e_1)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_311]),
[final] ).
cnf(c_0_806,negated_conjecture,
( product(e_4,e_1,e_1)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_311]),
[final] ).
cnf(c_0_807,negated_conjecture,
( product(e_4,e_1,e_1)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_264]),
[final] ).
cnf(c_0_808,negated_conjecture,
( product(e_4,e_1,e_1)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_264]),
[final] ).
cnf(c_0_809,negated_conjecture,
( product(e_4,e_1,e_1)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_264]),
[final] ).
cnf(c_0_810,negated_conjecture,
( cycle(e_2,e_1)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_57]),
[final] ).
cnf(c_0_811,negated_conjecture,
( equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_249]),
[final] ).
cnf(c_0_812,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_249]),
[final] ).
cnf(c_0_813,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_249]),
[final] ).
cnf(c_0_814,negated_conjecture,
( product(e_4,e_1,e_1)
| cycle(e_2,e_1)
| ~ greater(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_264]),c_0_88])]),
[final] ).
cnf(c_0_815,negated_conjecture,
( cycle(e_2,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_434,c_0_57]),
[final] ).
cnf(c_0_816,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_306]),
[final] ).
cnf(c_0_817,negated_conjecture,
( cycle(e_2,e_1)
| ~ product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_272]),c_0_108]),
[final] ).
cnf(c_0_818,negated_conjecture,
( equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_198]),
[final] ).
cnf(c_0_819,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_198]),
[final] ).
cnf(c_0_820,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_306]),
[final] ).
cnf(c_0_821,negated_conjecture,
( product(e_1,e_3,e_1)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_435,c_0_251]),
[final] ).
cnf(c_0_822,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ cycle(e_2,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_253]),c_0_55])]),
[final] ).
cnf(c_0_823,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| cycle(e_2,e_1)
| ~ product(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_112]),c_0_77]),
[final] ).
cnf(c_0_824,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_4,e_1,e_1)
| cycle(e_2,e_1)
| ~ product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_437]),c_0_67]),
[final] ).
cnf(c_0_825,negated_conjecture,
( product(e_1,e_3,e_1)
| cycle(e_2,e_1)
| ~ product(e_4,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_57]),c_0_235]),
[final] ).
cnf(c_0_826,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_306]),
[final] ).
cnf(c_0_827,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| equalish(e_3,X1)
| cycle(e_2,e_1)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_438,c_0_117]),
[final] ).
cnf(c_0_828,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_306]),
[final] ).
cnf(c_0_829,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| ~ product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_254]),c_0_77]),
[final] ).
cnf(c_0_830,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_306]),
[final] ).
cnf(c_0_831,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_1,e_4,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_129]),
[final] ).
cnf(c_0_832,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_439,c_0_173]),
[final] ).
cnf(c_0_833,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_1,e_4,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_129]),
[final] ).
cnf(c_0_834,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_57]),c_0_67]),
[final] ).
cnf(c_0_835,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(X1,e_2)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_207]),
[final] ).
cnf(c_0_836,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(X1,e_1)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_207]),
[final] ).
cnf(c_0_837,negated_conjecture,
( product(e_1,e_3,e_1)
| cycle(e_2,e_1)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_440,c_0_57]),
[final] ).
cnf(c_0_838,negated_conjecture,
( product(e_1,e_3,e_1)
| cycle(e_2,e_1)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_441,c_0_57]),
[final] ).
cnf(c_0_839,plain,
( product(e_1,e_3,e_1)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_268]),
[final] ).
cnf(c_0_840,plain,
( product(e_1,e_3,e_1)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_268]),
[final] ).
cnf(c_0_841,plain,
( product(e_1,e_3,e_1)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_268]),
[final] ).
cnf(c_0_842,plain,
( product(e_1,e_3,e_1)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_251]),
[final] ).
cnf(c_0_843,plain,
( product(e_1,e_3,e_1)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_251]),
[final] ).
cnf(c_0_844,plain,
( product(e_1,e_3,e_1)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_251]),
[final] ).
cnf(c_0_845,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_2,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_442,c_0_57]),
[final] ).
cnf(c_0_846,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_182]),
[final] ).
cnf(c_0_847,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_56,c_0_182]),
[final] ).
cnf(c_0_848,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_182]),
[final] ).
cnf(c_0_849,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_2,e_1)
| ~ cycle(e_2,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_182]),c_0_55])]),
[final] ).
cnf(c_0_850,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(e_4,X1)
| cycle(e_2,e_1)
| ~ next(e_3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_158]),c_0_159])]),
[final] ).
cnf(c_0_851,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| ~ product(e_1,e_4,e_1)
| ~ product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_272]),c_0_155]),
[final] ).
cnf(c_0_852,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_444,c_0_141]),
[final] ).
cnf(c_0_853,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_445,c_0_57]),
[final] ).
cnf(c_0_854,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| ~ product(e_3,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_57]),c_0_82]),
[final] ).
cnf(c_0_855,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_3,e_3,X1)
| ~ product(e_1,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_185]),c_0_124]),
[final] ).
cnf(c_0_856,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_1)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_446,c_0_57]),
[final] ).
cnf(c_0_857,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_447,c_0_57]),
[final] ).
cnf(c_0_858,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(e_2,e_2,X1)
| ~ product(e_1,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_190]),c_0_108]),
[final] ).
cnf(c_0_859,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_448,c_0_57]),
[final] ).
cnf(c_0_860,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_449,c_0_57]),
[final] ).
cnf(c_0_861,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_450,c_0_57]),
[final] ).
cnf(c_0_862,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_451,c_0_282]),
[final] ).
cnf(c_0_863,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| ~ product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_292]),c_0_155]),
[final] ).
cnf(c_0_864,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| ~ product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_57]),c_0_96]),
[final] ).
cnf(c_0_865,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_452,c_0_122]),
[final] ).
cnf(c_0_866,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_4,e_1)
| ~ product(e_1,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_57]),c_0_143]),
[final] ).
cnf(c_0_867,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_395,c_0_193]),
[final] ).
cnf(c_0_868,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| ~ product(e_3,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_57]),c_0_108]),
[final] ).
cnf(c_0_869,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_453,c_0_57]),
[final] ).
cnf(c_0_870,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_454,c_0_57]),
[final] ).
cnf(c_0_871,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_205]),
[final] ).
cnf(c_0_872,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_205]),
[final] ).
cnf(c_0_873,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_185]),
[final] ).
cnf(c_0_874,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_185]),
[final] ).
cnf(c_0_875,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_185]),
[final] ).
cnf(c_0_876,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_185]),c_0_96]),
[final] ).
cnf(c_0_877,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_456,c_0_57]),
[final] ).
cnf(c_0_878,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_149]),
[final] ).
cnf(c_0_879,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_149]),
[final] ).
cnf(c_0_880,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_149]),
[final] ).
cnf(c_0_881,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_137]),
[final] ).
cnf(c_0_882,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_137]),
[final] ).
cnf(c_0_883,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_137]),
[final] ).
cnf(c_0_884,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_137]),c_0_96]),
[final] ).
cnf(c_0_885,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_457,c_0_57]),
[final] ).
cnf(c_0_886,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_190]),
[final] ).
cnf(c_0_887,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_190]),
[final] ).
cnf(c_0_888,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| ~ cycle(e_2,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_254]),c_0_55])]),
[final] ).
cnf(c_0_889,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_134]),c_0_103]),
[final] ).
cnf(c_0_890,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_224]),
[final] ).
cnf(c_0_891,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_292]),
[final] ).
cnf(c_0_892,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_292]),
[final] ).
cnf(c_0_893,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_292]),
[final] ).
cnf(c_0_894,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_177]),
[final] ).
cnf(c_0_895,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_177]),
[final] ).
cnf(c_0_896,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_177]),
[final] ).
cnf(c_0_897,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| ~ product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_177]),c_0_96]),
[final] ).
cnf(c_0_898,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_459,c_0_57]),
[final] ).
cnf(c_0_899,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_134]),
[final] ).
cnf(c_0_900,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_460,c_0_57]),
[final] ).
cnf(c_0_901,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_282]),
[final] ).
cnf(c_0_902,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_282]),
[final] ).
cnf(c_0_903,plain,
( product(e_1,e_4,e_1)
| equalish(X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_262]),
[final] ).
cnf(c_0_904,plain,
( product(e_1,e_4,e_1)
| equalish(X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_262]),
[final] ).
cnf(c_0_905,plain,
( product(e_1,e_4,e_1)
| equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_262]),
[final] ).
cnf(c_0_906,plain,
( product(e_1,e_4,e_1)
| equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_247]),
[final] ).
cnf(c_0_907,plain,
( product(e_1,e_4,e_1)
| equalish(X1,e_4)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_247]),
[final] ).
cnf(c_0_908,plain,
( product(e_1,e_4,e_1)
| equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_247]),
[final] ).
cnf(c_0_909,plain,
( product(e_3,e_1,e_1)
| equalish(X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_166]),
[final] ).
cnf(c_0_910,plain,
( product(e_3,e_1,e_1)
| equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_166]),
[final] ).
cnf(c_0_911,plain,
( product(e_3,e_1,e_1)
| equalish(X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_154]),
[final] ).
cnf(c_0_912,plain,
( product(e_3,e_1,e_1)
| equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_154]),
[final] ).
cnf(c_0_913,plain,
( product(e_3,e_1,e_1)
| equalish(X1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_154]),
[final] ).
cnf(c_0_914,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_141]),
[final] ).
cnf(c_0_915,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_141]),
[final] ).
cnf(c_0_916,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_141]),
[final] ).
cnf(c_0_917,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_49]),
[final] ).
cnf(c_0_918,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_56,c_0_49]),
[final] ).
cnf(c_0_919,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_49]),
[final] ).
cnf(c_0_920,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_56,c_0_116]),
[final] ).
cnf(c_0_921,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_116]),
[final] ).
cnf(c_0_922,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_152]),
[final] ).
cnf(c_0_923,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_56,c_0_152]),
[final] ).
cnf(c_0_924,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_152]),
[final] ).
cnf(c_0_925,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_105]),
[final] ).
cnf(c_0_926,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_161]),
[final] ).
cnf(c_0_927,plain,
( equalish(e_1,X1)
| cycle(e_2,e_1)
| ~ next(e_0,X1) ),
inference(spm,[status(thm)],[c_0_461,c_0_88]),
[final] ).
cnf(c_0_928,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_161]),
[final] ).
cnf(c_0_929,plain,
( cycle(e_2,e_1)
| ~ cycle(X1,X2)
| ~ greater(e_1,X2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_462,c_0_158]),
[final] ).
cnf(c_0_930,plain,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_158]),
[final] ).
cnf(c_0_931,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_4,e_3)
| ~ product(e_1,e_4,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_272]),
[final] ).
cnf(c_0_932,plain,
( equalish(X1,e_1)
| cycle(e_2,e_1)
| ~ cycle(e_3,X1) ),
inference(spm,[status(thm)],[c_0_463,c_0_158]),
[final] ).
cnf(c_0_933,plain,
( cycle(e_2,e_1)
| ~ cycle(X1,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_464,c_0_79]),
[final] ).
cnf(c_0_934,plain,
( cycle(e_2,e_1)
| ~ cycle(X1,e_1)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_464,c_0_465]),
[final] ).
cnf(c_0_935,plain,
( equalish(X1,e_2)
| cycle(e_2,e_1)
| ~ cycle(e_2,X1) ),
inference(spm,[status(thm)],[c_0_463,c_0_117]),
[final] ).
cnf(c_0_936,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_3)
| ~ product(e_1,e_4,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_272]),
[final] ).
cnf(c_0_937,plain,
( cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ cycle(e_0,X1)
| ~ cycle(e_2,X2)
| ~ greater(X1,X2) ),
inference(spm,[status(thm)],[c_0_466,c_0_107]),
[final] ).
cnf(c_0_938,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_0,X1)
| ~ cycle(e_4,X2)
| ~ greater(X1,X2) ),
inference(spm,[status(thm)],[c_0_467,c_0_81]),
[final] ).
cnf(c_0_939,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_468,c_0_129]),
[final] ).
cnf(c_0_940,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_469,c_0_147]),
[final] ).
cnf(c_0_941,plain,
( product(e_3,e_1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_3,e_0)
| ~ greater(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_154]),
[final] ).
cnf(c_0_942,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_147]),
[final] ).
cnf(c_0_943,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_57]),c_0_124]),
[final] ).
cnf(c_0_944,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(e_3,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_470,c_0_88]),
[final] ).
cnf(c_0_945,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ greater(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_248]),c_0_88])]),
[final] ).
cnf(c_0_946,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ greater(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_212]),c_0_88])]),
[final] ).
cnf(c_0_947,plain,
( equalish(e_1,X1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ greater(e_0,e_0)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_471,c_0_271]),
[final] ).
cnf(c_0_948,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| ~ product(e_2,e_2,X1)
| ~ product(e_1,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_193]),c_0_103]),
[final] ).
cnf(c_0_949,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| ~ greater(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_306]),c_0_88])]),
[final] ).
cnf(c_0_950,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_472,c_0_57]),
[final] ).
cnf(c_0_951,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_473,c_0_57]),
[final] ).
cnf(c_0_952,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_129]),
[final] ).
cnf(c_0_953,plain,
( cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ cycle(X1,X2)
| ~ greater(e_0,X2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_474,c_0_271]),
[final] ).
cnf(c_0_954,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_207]),
[final] ).
cnf(c_0_955,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_272]),c_0_108]),
[final] ).
cnf(c_0_956,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(X1,X2)
| ~ greater(e_0,X2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_462,c_0_74]),
[final] ).
cnf(c_0_957,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_193]),
[final] ).
cnf(c_0_958,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_179]),
[final] ).
cnf(c_0_959,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_56,c_0_179]),
[final] ).
cnf(c_0_960,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| equalish(X1,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_179]),
[final] ).
cnf(c_0_961,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_112]),
[final] ).
cnf(c_0_962,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_475,c_0_102]),
[final] ).
cnf(c_0_963,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_173]),
[final] ).
cnf(c_0_964,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_56,c_0_173]),
[final] ).
cnf(c_0_965,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_173]),
[final] ).
cnf(c_0_966,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_102]),
[final] ).
cnf(c_0_967,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| ~ greater(e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_179]),c_0_88])]),
[final] ).
cnf(c_0_968,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_134]),
[final] ).
cnf(c_0_969,plain,
( product(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_119]),
[final] ).
cnf(c_0_970,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_272]),
[final] ).
cnf(c_0_971,plain,
( equalish(X1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ cycle(e_1,X1) ),
inference(spm,[status(thm)],[c_0_463,c_0_271]),
[final] ).
cnf(c_0_972,plain,
( product(e_3,e_4,e_1)
| equalish(X1,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_122]),
[final] ).
cnf(c_0_973,plain,
( equalish(e_4,X1)
| ~ cycle(X2,e_4)
| ~ cycle(X3,X4)
| ~ next(X4,X1)
| ~ next(X2,X3) ),
inference(spm,[status(thm)],[c_0_63,c_0_416]),
[final] ).
cnf(c_0_974,plain,
( equalish(X1,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_3,X1) ),
inference(spm,[status(thm)],[c_0_463,c_0_74]),
[final] ).
cnf(c_0_975,plain,
( cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ greater(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_476,c_0_271]),
[final] ).
cnf(c_0_976,plain,
( ~ cycle(e_0,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_4,X2) ),
inference(spm,[status(thm)],[c_0_270,c_0_416]),
[final] ).
cnf(c_0_977,negated_conjecture,
( equalish(X1,X2)
| ~ product(X2,X3,X1)
| ~ product(X2,X2,X4)
| ~ product(X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_164,c_0_57]),
[final] ).
cnf(c_0_978,plain,
( equalish(X1,e_0)
| ~ cycle(e_4,X1) ),
inference(spm,[status(thm)],[c_0_463,c_0_88]),
[final] ).
cnf(c_0_979,plain,
equalish(X1,X1),
inference(spm,[status(thm)],[c_0_477,c_0_57]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP123-3.004 : TPTP v9.2.1. Released v1.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n031.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 18:23:23 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.99/1.90 % Version : CSE_E---1.7
% 1.99/1.90 % Problem : theBenchmark.p
% 1.99/1.90 % SZS status Satisfiable for theBenchmark.p
% 1.99/1.90 % SZS output start Saturation
% See solution above
% 1.99/1.91 % Total time : 1.371s
%------------------------------------------------------------------------------